Information on Result #1768378
Digital (169, 206, 4300)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3206, 4300, F3, 37) (dual of [4300, 4094, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3206, 6607, F3, 37) (dual of [6607, 6401, 38]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3204, 6605, F3, 37) (dual of [6605, 6401, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3204, 6605, F3, 37) (dual of [6605, 6401, 38]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.